If in an A.P series 18th term is 29 and 29th term is 18. Then find the 49th term

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Question
If in an A.P series 18th term is 29 and 29th term is 18. Then find the 49th term ?
Options
A. -3
B. -2
C. 0
D. 1

Correct Answer

-2

Explanation

We know that in A.P series
18th term = a + 17d
29th term = a + 28d
But given
a + 17d = 29..........(i)
a + 28d = 18......... (ii)
Solving equation (i) and (ii), we get
d = -1
put d = -1 in any of the above equations and we get,
a = 46
Now, we know 49th term can be written as, a + 48d
putting the value of a and d in the above equation,
a + 48d = 46 + 48(-1)
= 46 - 48
= -2

Hence, the 49th term is -2.

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